Wednesday, May 12

MS1
Geometric Methods in Control

4:00 PM-6:00 PMRoom: Atlanta 1

Differential geometric methods have been used in control theory since
the 1960's. This research area has reached a mature state with the
publication of several outstanding textbooks and conference
proceedings in the subject. Moreover, the relationship between
differential geometry and control theory has become a two-way avenue,
with control theory using geometry as a tool and as a source for
applications, and with geometry benefiting from the results and
techniques developed by control theorists. The speakers in this
minisymposium will present some of the recent research results in the
area, and the central theme is that of control systems on Lie groups.

Organizer: Guillermo FerreyraLouisiana State University

4:00-4:25 Centro-Affine Curve Theory in Nonlinear Scalar Control

George R. Wilkens, Jr., University of Hawaii

4:30-4:55 Planar Centro-Affine Elastica

Angel L. Cruz Delgado, Louisiana State University

5:00-5:25 Asymptotic Behavior of Control Systems Related to
Lie Groups

Jimmie Lawson, Louisiana State University

5:30-5:55 Characterization of Optimal Trajectories of Control
Systems on Lie Groups of Dimension Three